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Question 8

Find the cost of polishing a circular table-top of diameter 1.6 m, if the rate of polishing is $₹15/m^2$
$(Take\pi =3.14)$

$\text{Solve for m:}$

$\frac{8m}{6}+5=7m$

$△$PQR is drawn with the length of side QR being 4 cm. If $\angle$Q is 35${}^{\circ }$ and $\angle$R is 70${}^{\circ }$, then, the length of the side PR is

Question 39
Fill in the blank to make statement true.
A triangular pyramid has ___ faces, ___ edges and ___ vertices.

In $△ABC,$ $\angle ABC={90}^{\circ }$, $\angle BAC={45}^{\circ }$, $\angle ACB={45}^{\circ }$. What is this triangle called?

Question 35

An auto rickshaw takes 3 hours to cover a distance of 36 km. If its speed is increased by 4 km/h, the time taken by it to cover the same distance is___.

Question 84 (b)

Simplify $[{\left(\frac{7}{11}\right)}^5÷{\left(\frac{7}{11}\right)}^2]\times {\left(\frac{7}{11}\right)}^2$

20% Loss on 50 Rs pen and 45% Loss on 100 Rs book, then for the shopkeeper

The number of people possessing bicycles in a town from 1995 to 1998 is as follows. Draw a pictorial graph.

The power set of $\{1,2\}$ is

Question 3

Out of the four options, only one is correct. Write the correct answer.

The tems of expression $4x^2-3xy$ are

$\left(a\right)4x^2$ and -3xy
$\left(b\right)4x^2$ and 3xy
$\left(c\right)4x^2$ and -xy
$\left(d\right)x^2$ and xy

A verandah of width $2.25m$ is constructed all along outside a room which is $5.5m$ long and $4m$ wide. Find:

(i) the area of the verandah

(ii) the cost of cementing the floor of the verandah at the rate of $Rs.200$ per $m^2$.

The square root of 556.96 is ___. (Give answer till one decimal place)

Which of the following is a measure of central tendency?

Question 13 (iii)
Two angles forming a linear pair are ___.

If 'a' and 'b' are any two integers and a+(b+c) = (a+b)+c. The property used here is __

$$\begin{array}{ccccc}X& 100& 200& 300& 400\\ Y& & 30& 20& 15\end{array}$$

Which number fills the blank cell?

You picked a card at random from a deck of 52, noted the suit of the card, and then replaced the card. You repeated this experiment 99 more times. Your observations are as shown below.

$$\begin{array}{cc}\text{Suit}& \text{Frequency}\\ \text{Spades}& 23\\ \text{Diamond}& 26\\ \text{Club}& 21\\ \text{Heart}& 30\end{array}$$

Find the probability of drawing
(i) Spades
ii) Diamonds
(iii) Clubs
(iv) Hearts.
Show that the sum of these probabilities is 1. [4 MARKS]

The value of 1 - 2 + 3 - 4 + 5 - 6 +........... + 19 - 20 is __________.

An object looks exactly similar to the original object if it is rotated by some angle. This type of symmetry is called ______ symmetry.

1. 2

Arrange the following in ascending order of their values from top to bottom.

Question 117 (iii)

Life Science Application
A DNA model was built using the scale 2 cm : 0.0000001 mm. If the model of the DNA chain is 17 cm long, what is the length of the actual chain?

In the figure, ray AD stands on the line CB, $\angle BAD=(2x+10{)}^{\circ }$ and $\angle CAD=(5x+30{)}^{\circ }$, find the valve of x and also write $\angle BAD$ and $\angle CAD$. [3 MARKS]

Calculate the simple interest on ₹1000 for a period of 5 years at 7% interest per annum.

If three cubes of dimensions 3 cm by 3 cm by 3 cm are placed side by side, what would the dimensions of the resulting cuboid be?

Meeta
saves Rs 400 from her salary. If this is 10% of her salary. What is
her salary?

Which of the figures reflects the number $5.3\overline{7}$ on a number line up to $5$ decimal places, i.e. ,$5.37777$?

1. 50

A train A travelled a distance of 120km in 3 hours whereas another train B travelled a distance of 180km in 4 hours. Which train travelled faster?